What is the answer to |x-2|=-1/2 x+4 ?

The answer to |x-2|=-1/2 x+4 is x=-4\lor x=4

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|x-2|=-1/2 x+4

∣ x - 2 ∣ = - \frac{1}{2} x + 4

x = - 4 or x = 4

Solution steps

∣ x - 2 ∣ = - \frac{1}{2} x + 4

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - 4 or x = 4

x^{2} + 7 = x^{2} - 4

- 2 ∣ 3 x + 7 ∣ + 5 = - 9

∣ 8 + 4 x ∣ = 2 x + 7

∣ 4 y - 10 ∣ = ∣ 8 y + 17 ∣

∣ p ∣ - 3 = - 1

What is the answer to |x-2|=-1/2 x+4 ?
The answer to |x-2|=-1/2 x+4 is x=-4\lor x=4
Solve for x: |x-2|=-1/2 x+4
The solution is x=-4\lor x=4